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Finding the Fourth Proportional to 115.60, 173.52 and 110.74

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Solution

The fourth proportional to 115.60, 173.52 and 110.74 is: 166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.60 : 173.52 = 110.74 : x
  2. Step 2: Convert to fraction form
    115.60/173.52 = 110.74/x
  3. Step 3: Cross multiply
    115.60x = 173.52 × 110.74
  4. Step 4: Simplify right side
    115.60x = 19,215.60
  5. Step 5: Solve for x
    x = 19,215.60/115.60
  6. Step 6: Final answer
    x = 166.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.